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Finding the Fourth Proportional to 5,678, 8,515.36 and 2,391.84

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Solution

The fourth proportional to 5,678, 8,515.36 and 2,391.84 is: 3,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678 : 8,515.36 = 2,391.84 : x
  2. Step 2: Convert to fraction form
    5,678/8,515.36 = 2,391.84/x
  3. Step 3: Cross multiply
    5,678x = 8,515.36 × 2,391.84
  4. Step 4: Simplify right side
    5,678x = 20,367,378.66
  5. Step 5: Solve for x
    x = 20,367,378.66/5,678
  6. Step 6: Final answer
    x = 3,587.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.